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Finding the Fourth Proportional to 119,072, 164,319.36 and 66,080

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Solution

The fourth proportional to 119,072, 164,319.36 and 66,080 is: 91,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,072 : 164,319.36 = 66,080 : x
  2. Step 2: Convert to fraction form
    119,072/164,319.36 = 66,080/x
  3. Step 3: Cross multiply
    119,072x = 164,319.36 × 66,080
  4. Step 4: Simplify right side
    119,072x = 10,858,223,308.80
  5. Step 5: Solve for x
    x = 10,858,223,308.80/119,072
  6. Step 6: Final answer
    x = 91,190.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.